The meter per second (symbolized m/s or m/sec) is the Standard International ( SI ) unit of linear speed. This quantity can be defined in either of two senses: average or instantaneous.

Average linear speed is obtained by measuring the distance in meter s that an object travels in a certain number of second s, and then dividing the distance by the time. If *s* _{avg} represents the average speed of an object (in meters per second) during a time interval *t* (in seconds), and the distance traveled in that time is equal to *d* (in meters), then:

*s*

_{avg}=

*d*/

*t*

Instantaneous linear speed is more difficult to intuit, because it involves an expression of motion over an "infinitely short" interval of time. Let *p* represent a specific point in time. Suppose an object is in motion at about that time. The average speed can be measured over increasingly short time intervals centered at *p* , for example:

[ *p* -4, *p* +4]

[ *p* -3, *p* +3]

[ *p* -2 , *p* +2]

[ *p* -1, *p* +1]

[ *p* -0.5, *p* +0.5]

[ *p* -0.25, *p* +0.25]

.

.

.

[ *p* - *x* , *p* + *x* ]

.

.

.

where the added and subtracted numbers represent seconds. The instantaneous speed, *s* _{inst} , is the limit of the measured average speed as *x* approaches zero. This is a theoretical value, because it cannot be obtained except by inference from measurements made over progressively shorter time spans.

It is important to realize that speed is not the same thing as velocity. Speed is a scalar (dimensionless) quantity, while velocity is a vector quantity consisting of speed and direction. We might say a car is traveling at 20 m/s, and this tells us its speed. Or we might say the car is traveling at 20 m/s at a compass bearing of 25 degrees (north-by-northeast); this tells us its velocity. As with speed, we might specify either the average velocity over a period of time, or the instantaneous velocity at an exact moment in time.

Also see meter per second squared and Standard International ( SI ) System of Units.

*This was last updated in*March 2011

*Posted by:*Margaret Rouse

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